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Finding the Fourth Proportional to 383.79, 574.44 and 200.91

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Solution

The fourth proportional to 383.79, 574.44 and 200.91 is: 300.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.79 : 574.44 = 200.91 : x
  2. Step 2: Convert to fraction form
    383.79/574.44 = 200.91/x
  3. Step 3: Cross multiply
    383.79x = 574.44 × 200.91
  4. Step 4: Simplify right side
    383.79x = 115,410.74
  5. Step 5: Solve for x
    x = 115,410.74/383.79
  6. Step 6: Final answer
    x = 300.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.